document.write( "Question 82740: how do you factor 30x^3+13x^2-10x\r
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Algebra.Com's Answer #59351 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"30x%5E3%2B13x%5E2-10x\"$
\n" ); document.write( "First factor out the GCF x:
\n" ); document.write( " $\"x%2830x%5E2%2B13x-10%29\"$
\n" ); document.write( "Replace the middle term with two numbers that will multiply to give us the the product of the first and last terms but add to give you the middle term.
\n" ); document.write( "30x^2*-10=-300x^2 the middle term is 13x
\n" ); document.write( "25x*(-12x)=-300x^2 and 25x+-12x=13x
\n" ); document.write( " $\"x%2830x%5E2%2B25x-12x-10%29\"$
\n" ); document.write( "Now factor by grouping
\n" ); document.write( " $\"x%28%2830x%5E2%2B25x%29%2B%28-12x-10%29%29\"$
\n" ); document.write( " $\"x%285x%286x%2B5%29-2%286x%2B5%29%29\"$
\n" ); document.write( " $\"highlight%28x%285x-2%29%286x%2B5%29%29\"$
\n" ); document.write( "This was a thinker, I had to use a factor tree to find the factors of -300 that would add together to give you 13. That helps when you have a number that has a lot of factors like 300.
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